Get the tyname field from a amb-expr/tyname.
(amb-expr/tyname->tyname x) → tyname
This is an ordinary field accessor created by fty::defprod.
Function:
(defun amb-expr/tyname->tyname$inline (x) (declare (xargs :guard (amb-expr/tyname-p x))) (declare (xargs :guard t)) (let ((__function__ 'amb-expr/tyname->tyname)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (tyname-fix (cdr (std::da-nth 1 x)))) :exec (cdr (std::da-nth 1 x)))))
Theorem:
(defthm tynamep-of-amb-expr/tyname->tyname (b* ((tyname (amb-expr/tyname->tyname$inline x))) (tynamep tyname)) :rule-classes :rewrite)
Theorem:
(defthm amb-expr/tyname->tyname$inline-of-amb-expr/tyname-fix-x (equal (amb-expr/tyname->tyname$inline (amb-expr/tyname-fix x)) (amb-expr/tyname->tyname$inline x)))
Theorem:
(defthm amb-expr/tyname->tyname$inline-amb-expr/tyname-equiv-congruence-on-x (implies (amb-expr/tyname-equiv x x-equiv) (equal (amb-expr/tyname->tyname$inline x) (amb-expr/tyname->tyname$inline x-equiv))) :rule-classes :congruence)